Abstract
We discuss long-distance QCD corrections to the WIMP-nucleon(s) interactions in the framework of chiral effective theory. For scalar-mediated WIMP-quark interactions, we calculate all the next-to-leading-order corrections to the WIMP-nucleus elastic cross-section, including two-nucleon amplitudes and recoil-energy dependent shifts to the single-nucleon scalar form factors. As a consequence, the scalar-mediated WIMP-nucleus cross-section cannot be parameterized in terms of just two quantities, namely the neutron and proton scalar form factors at zero momentum transfer, but additional parameters appear, depending on the short-distance WIMP-quark interaction. Moreover, multiplicative factorization of the cross-section into particle, nuclear and astro-particle parts is violated. In practice, while the new effects are of the natural size expected by chiral power counting, they become very important in those regions of parameter space where the leading order WIMP-nucleus amplitude is suppressed, including the so-called “isospin-violating dark matter” regime. In these regions of parameter space we find order-of-magnitude corrections to the total scattering rates and qualitative changes to the shape of recoil spectra.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
DAMA collaboration, R. Bernabei et al., First results from DAMA/LIBRA and the combined results with DAMA/NaI, Eur. Phys. J. C 56 (2008) 333 [arXiv:0804.2741] [INSPIRE].
C. Aalseth et al., Search for an annual modulation in a P-type point contact germanium dark matter detector, Phys. Rev. Lett. 107 (2011) 141301 [arXiv:1106.0650] [INSPIRE].
XENON100 collaboration, E. Aprile et al., Dark matter results from 100 live days of XENON100 data, Phys. Rev. Lett. 107 (2011) 131302 [arXiv:1104.2549] [INSPIRE].
XENON10 collaboration, J. Angle et al., A search for light dark matter in XENON10 data, Phys. Rev. Lett. 107 (2011) 051301 [arXiv:1104.3088] [INSPIRE].
CDMS collaboration, Z. Ahmed et al., Search for annual modulation in low-energy CDMS-II data, arXiv:1203.1309 [INSPIRE].
CDMS-II collaboration, Z. Ahmed et al., Results from a low-energy analysis of the CDMS II germanium data, Phys. Rev. Lett. 106 (2011) 131302 [arXiv:1011.2482] [INSPIRE].
M. Farina, D. Pappadopulo, A. Strumia and T. Volansky, Can CoGeNT and DAMA modulations be due to dark matter?, JCAP 11 (2011) 010 [arXiv:1107.0715] [INSPIRE].
J. Kopp, T. Schwetz and J. Zupan, Light dark matter in the light of CRESST-II, JCAP 03 (2012) 001 [arXiv:1110.2721] [INSPIRE].
D. Tucker-Smith and N. Weiner, Inelastic dark matter, Phys. Rev. D 64 (2001) 043502 [hep-ph/0101138] [INSPIRE].
P.W. Graham, R. Harnik, S. Rajendran and P. Saraswat, Exothermic dark matter, Phys. Rev. D 82 (2010) 063512 [arXiv:1004.0937] [INSPIRE].
J.M. Cline, A.R. Frey and F. Chen, Metastable dark matter mechanisms for INTEGRAL 511 keV γ rays and DAMA/CoGeNT events, Phys. Rev. D 83 (2011) 083511 [arXiv:1008.1784] [INSPIRE].
A. Kurylov and M. Kamionkowski, Generalized analysis of weakly interacting massive particle searches, Phys. Rev. D 69 (2004) 063503 [hep-ph/0307185] [INSPIRE].
F. Giuliani, Are direct search experiments sensitive to all spin-independent WIMP candidates?, Phys. Rev. Lett. 95 (2005) 101301 [hep-ph/0504157] [INSPIRE].
S. Chang, J. Liu, A. Pierce, N. Weiner and I. Yavin, CoGeNT interpretations, JCAP 08 (2010) 018 [arXiv:1004.0697] [INSPIRE].
J.L. Feng, J. Kumar, D. Marfatia and D. Sanford, Isospin-violating dark matter, Phys. Lett. B 703 (2011) 124 [arXiv:1102.4331] [INSPIRE].
B. Feldstein, A.L. Fitzpatrick and E. Katz, Form factor dark matter, JCAP 01 (2010) 020 [arXiv:0908.2991] [INSPIRE].
S. Chang, A. Pierce and N. Weiner, Momentum dependent dark matter scattering, JCAP 01 (2010) 006 [arXiv:0908.3192] [INSPIRE].
Y. Bai and P.J. Fox, Resonant dark matter, JHEP 11 (2009) 052 [arXiv:0909.2900] [INSPIRE].
C. Savage, K. Freese and P. Gondolo, Annual modulation of dark matter in the presence of streams, Phys. Rev. D 74 (2006) 043531 [astro-ph/0607121] [INSPIRE].
M. Lisanti, L.E. Strigari, J.G. Wacker and R.H. Wechsler, The dark matter at the end of the galaxy, Phys. Rev. D 83 (2011) 023519 [arXiv:1010.4300] [INSPIRE].
P.J. Fox, J. Liu and N. Weiner, Integrating out astrophysical uncertainties, Phys. Rev. D 83 (2011) 103514 [arXiv:1011.1915] [INSPIRE].
M.T. Frandsen, F. Kahlhoefer, C. McCabe, S. Sarkar and K. Schmidt-Hoberg, Resolving astrophysical uncertainties in dark matter direct detection, JCAP 01 (2012) 024 [arXiv:1111.0292] [INSPIRE].
J. Herrero-Garcia, T. Schwetz and J. Zupan, Astrophysics independent bounds on the annual modulation of dark matter signals, arXiv:1205.0134 [INSPIRE].
J. Fan, M. Reece and L.-T. Wang, Non-relativistic effective theory of dark matter direct detection, JCAP 11 (2010) 042 [arXiv:1008.1591] [INSPIRE].
A.L. Fitzpatrick, W. Haxton, E. Katz, N. Lubbers and Y. Xu, The effective field theory of dark matter direct detection, arXiv:1203.3542 [INSPIRE].
G. Prezeau, A. Kurylov, M. Kamionkowski and P. Vogel, New contribution to WIMP-nucleus scattering, Phys. Rev. Lett. 91 (2003) 231301 [astro-ph/0309115] [INSPIRE].
M.A. Shifman, A. Vainshtein and V.I. Zakharov, Remarks on Higgs boson interactions with nucleons, Phys. Lett. B 78 (1978) 443 [INSPIRE].
S. Weinberg, Phenomenological Lagrangians, Physica A 96 (1979) 327 [INSPIRE].
J. Gasser and H. Leutwyler, Chiral perturbation theory to one loop, Annals Phys. 158 (1984) 142 [INSPIRE].
J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465 [INSPIRE].
V. Bernard, N. Kaiser and U.-G. Meissner, Chiral dynamics in nucleons and nuclei, Int. J. Mod. Phys. E 4 (1995) 193 [hep-ph/9501384] [INSPIRE].
P.F. Bedaque and U. van Kolck, Effective field theory for few nucleon systems, Ann. Rev. Nucl. Part. Sci. 52 (2002) 339 [nucl-th/0203055] [INSPIRE].
A.S. Kronfeld, Twenty-first century lattice gauge theory: results from the QCD Lagrangian, arXiv:1203.1204 [INSPIRE].
V. Cirigliano, M Graesser and G. Ovanesyan, in preparation (2012).
E.E. Jenkins and A.V. Manohar, Baryon chiral perturbation theory using a heavy fermion Lagrangian, Phys. Lett. B 255 (1991) 558 [INSPIRE].
S. Weinberg, Nuclear forces from chiral Lagrangians, Phys. Lett. B 251 (1990) 288 [INSPIRE].
S. Weinberg, Effective chiral Lagrangians for nucleon-pion interactions and nuclear forces, Nucl. Phys. B 363 (1991) 3 [INSPIRE].
D.B. Kaplan, M.J. Savage and M.B. Wise, Nucleon-nucleon scattering from effective field theory, Nucl. Phys. B 478 (1996) 629 [nucl-th/9605002] [INSPIRE].
J.F. Donoghue and H. Leutwyler, Energy and momentum in chiral theories, Z. Phys. C 52 (1991) 343 [INSPIRE].
A. Corsetti and P. Nath, Gaugino mass nonuniversality and dark matter in SUGRA, strings and D-brane models, Phys. Rev. D 64 (2001) 125010 [hep-ph/0003186] [INSPIRE].
B. Borasoy and U.-G. Meissner, Chiral expansion of baryon masses and sigma terms, Annals Phys. 254 (1997) 192 [hep-ph/9607432] [INSPIRE].
M. Pavan, I. Strakovsky, R. Workman and R. Arndt, The pion nucleon Σ term is definitely large: results from a G.W.U. analysis of π nucleon scattering data, PiN Newslett. 16 (2002) 110 [hep-ph/0111066] [INSPIRE].
H. Ohki et al., Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry, Phys. Rev. D 78 (2008) 054502 [arXiv:0806.4744] [INSPIRE].
R. Young and A. Thomas, Octet baryon masses and sigma terms from an SU(3) chiral extrapolation, Phys. Rev. D 81 (2010) 014503 [arXiv:0901.3310] [INSPIRE].
MILC collaboration, D. Toussaint and W. Freeman, The strange quark condensate in the nucleon in 2 + 1 flavor QCD, Phys. Rev. Lett. 103 (2009) 122002 [arXiv:0905.2432] [INSPIRE].
JLQCD collaboration, K. Takeda et al., Nucleon strange quark content from two-flavor lattice QCD with exact chiral symmetry, Phys. Rev. D 83 (2011) 114506 [arXiv:1011.1964] [INSPIRE].
S. Dürr et al., Sigma term and strangeness content of octet baryons, Phys. Rev. D 85 (2012) 014509 [arXiv:1109.4265] [INSPIRE].
R. Horsley et al., Hyperon sigma terms for 2 + 1 quark flavours, Phys. Rev. D 85 (2012) 034506 [arXiv:1110.4971] [INSPIRE].
H.-Y. Cheng, Low-energy interactions of scalar and pseudoscalar Higgs bosons with baryons, Phys. Lett. B 219 (1989) 347 [INSPIRE].
Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [INSPIRE].
J. Vergados, Pion double charge exchange contribution to neutrinoless double beta decay, Phys. Rev. D 25 (1982) 914 [INSPIRE].
G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept. 267 (1996) 195 [hep-ph/9506380] [INSPIRE].
J. Engel, S. Pittel and P. Vogel, Nuclear physics of dark matter detection, Int. J. Mod. Phys. E 1 (1992) 1 [INSPIRE].
A. Hayes, private communications.
B. Castel and I.S. Towner, Modern theories of nuclear moments, Oxford Studies in Nuclear Physics, Clarendon Press, Oxford U.K. (1990).
J. Gasser, H. Leutwyler and M. Sainio, Form-factor of the sigma term, Phys. Lett. B 253 (1991) 260 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1205.2695
Rights and permissions
About this article
Cite this article
Cirigliano, V., Graesser, M.L. & Ovanesyan, G. WIMP-nucleus scattering in chiral effective theory. J. High Energ. Phys. 2012, 25 (2012). https://doi.org/10.1007/JHEP10(2012)025
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2012)025